| 移动荷载下黏弹性半空间体上双层板的动力响应 |
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| 引用本文： | 李皓玉,齐月芹,刘 进.移动荷载下黏弹性半空间体上双层板的动力响应[J].岩土力学,2013,34(Z1):28-34. |
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| 作者姓名： | 李皓玉 齐月芹 刘 进 |
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| 作者单位： | 石家庄铁道大学 工程力学系，石家庄 050043 |
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| 基金项目： | 国家自然科学基金重点项目资助（No. 10932006）；河北省自然科学基金资助（No. E2011210055，No. E2012210025）；河北省重点基础研究资助项目（No. 10963528D） |
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| 摘 要： | 采用黏弹性半空间体上无限大双层板模型模拟路面结构，通过三重Fourier积分变换得到单位脉冲荷载作用下路面动力响应的Green函数。根据线性系统的叠加原理，利用广义Duhamel积分推导出移动荷载作用下路面动力响应的解析解。采用自适应Simpson法编制了计算奇异、振荡函数的广义积分计算程序，完成了路面动力响应从波数-频率域到时间-空间域的转换。结合算例，对移动荷载作用下路面的振动规律进行研究，讨论上、下层板厚度和板材料的弹性模量对路面动力响应的影响，明确了路面结构的振动特性，研究结果可为路面结构的设计、施工提供理论指导。
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| 关 键 词： | 黏弹性半空间 无限大双层板 动力响应 移动荷载 积分变换 |
| 收稿时间： | 2012-06-28 |
Dynamic responses of a two-layer plate on viscoelastic half-space foundation under moving loads |
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| LI Hao-yu,QI Yue-qin,LIU Jin.Dynamic responses of a two-layer plate on viscoelastic half-space foundation under moving loads[J].Rock and Soil Mechanics,2013,34(Z1):28-34. |
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| Authors: | LI Hao-yu QI Yue-qin LIU Jin |
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| Institution: | Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China |
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| Abstract: | An infinite two-layer plate on viscoelastic half-space foundation subjected to moving loads is employed as the model of pavement structure. The dynamic Green’s function of the pavement under the unit impulse load is developed using a triple Fourier transform. Based on the superposition principle of linear system，the analytical solutions of the steady-state displacement and stress responses are then derived by combining the generalized Duhamel integral with the Green’s function. The adaptive Simpson numerical algorithm is successfully used to calculate the multiple integral of singular and oscillatory function, and transfers the solutions from the wavenumber-frequency domain to the time-space domain. The vibration characteristics of the pavement under moving constant and harmonic loads are analyzed through some numerical examples; and parameter studies then follow to show the effect of plate thickness and elastic modulus of plate material on the dynamic responses of the pavement structure. The results give an insight into the vibration regularities of pavement under moving loads, and may have important theoretical significance and reference value for the design and construction of pavement. |
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| Keywords: | viscoelastic half-space an infinite two-layer plate dynamic responses moving load integral transform |
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